Inference procedure has parameters:
Ice fuel: 200
Timeout: 60s
Convolution: left


Learning problem is:

env: {
elt -> {a, b}  ;  eltlist -> {cons, nil}
}
definition:
{
(append, F:
{() -> append([nil, l2, l2])
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)])}
(append([_vg, _wg, _xg]) /\ append([_vg, _wg, _yg])) -> eq_eltlist([_xg, _yg])
)
(reverse, F:
{() -> reverse([nil, nil])
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah])}
(reverse([_bh, _ch]) /\ reverse([_bh, _dh])) -> eq_eltlist([_ch, _dh])
)
(mem, P:
{() -> mem([h, cons(h, t)])
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)])
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t])
(mem([e, nil])) -> BOT}
)
}

properties:
{(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh])}


over-approximation: {append, reverse}
under-approximation: {}

Clause system for inference is:

{
() -> append([nil, l2, l2]) -> 0
() -> mem([h, cons(h, t)]) -> 0
() -> reverse([nil, nil]) -> 0
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 0
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 0
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 0
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 0
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 0
(mem([e, nil])) -> BOT -> 0
}


Solving took 64.628941 seconds.
DontKnow. Stopped because: timeout
Working model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1766, q_gen_1767, q_gen_1768, q_gen_1771, q_gen_1772, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1783, q_gen_1784, q_gen_1785, q_gen_1793, q_gen_1794, q_gen_1795, q_gen_1806, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1810, q_gen_1815, q_gen_1816, q_gen_1817, q_gen_1827, q_gen_1828, q_gen_1829, q_gen_1830, q_gen_1841, q_gen_1842, q_gen_1843, q_gen_1844, q_gen_1845, q_gen_1849, q_gen_1850, q_gen_1851, q_gen_1852, q_gen_1853, q_gen_1855, q_gen_1859, q_gen_1860, q_gen_1861, q_gen_1862, q_gen_1866, q_gen_1867, q_gen_1868, q_gen_1872, q_gen_1873, q_gen_1874, q_gen_1875, q_gen_1876, q_gen_1877, q_gen_1881, q_gen_1882, q_gen_1883, q_gen_1884, q_gen_1885, q_gen_1886, q_gen_1888, q_gen_1889, q_gen_1890, q_gen_1891, q_gen_1892, q_gen_1894, q_gen_1895, q_gen_1896, q_gen_1901, q_gen_1903, q_gen_1904, q_gen_1909, q_gen_1910, q_gen_1912, q_gen_1913, q_gen_1916, q_gen_1917, q_gen_1918, q_gen_1924, q_gen_1925, q_gen_1926, q_gen_1927},
Q_f={},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1829
<nil, nil>() -> q_gen_1761
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1768, q_gen_1761) -> q_gen_1767
<a, a>() -> q_gen_1768
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1842
<b, a>() -> q_gen_1845
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1860
<a, b>() -> q_gen_1876
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1896
<nil, cons>(q_gen_1775, q_gen_1829) -> q_gen_1927
<nil, nil, nil>() -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, cons, cons>(q_gen_1768, q_gen_1767) -> q_gen_1766
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1771
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1772
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<b, b, b>() -> q_gen_1776
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1783
<nil, cons, cons>(q_gen_1768, q_gen_1761) -> q_gen_1785
<cons, cons, cons>(q_gen_1794, q_gen_1773) -> q_gen_1793
<a, b, a>() -> q_gen_1794
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1806
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<b, a, b>() -> q_gen_1809
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1810
<cons, cons, cons>(q_gen_1816, q_gen_1807) -> q_gen_1815
<a, a, a>() -> q_gen_1816
<cons, cons, cons>(q_gen_1809, q_gen_1783) -> q_gen_1817
<cons, cons, cons>(q_gen_1794, q_gen_1828) -> q_gen_1827
<nil, nil, cons>(q_gen_1775, q_gen_1829) -> q_gen_1828
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1830
<nil, cons, cons>(q_gen_1768, q_gen_1842) -> q_gen_1841
<cons, cons, cons>(q_gen_1809, q_gen_1844) -> q_gen_1843
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1844
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1849
<cons, cons, cons>(q_gen_1794, q_gen_1851) -> q_gen_1850
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1851
<cons, cons, cons>(q_gen_1816, q_gen_1773) -> q_gen_1853
<nil, cons, cons>(q_gen_1762, q_gen_1767) -> q_gen_1855
<cons, nil, cons>(q_gen_1762, q_gen_1860) -> q_gen_1859
<cons, cons, cons>(q_gen_1809, q_gen_1828) -> q_gen_1861
<cons, cons, cons>(q_gen_1809, q_gen_1851) -> q_gen_1862
<cons, cons, cons>(q_gen_1794, q_gen_1756) -> q_gen_1866
<cons, cons, cons>(q_gen_1776, q_gen_1868) -> q_gen_1867
<cons, nil, cons>(q_gen_1768, q_gen_1761) -> q_gen_1868
<cons, nil, cons>(q_gen_1762, q_gen_1767) -> q_gen_1872
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1873
<cons, cons, cons>(q_gen_1776, q_gen_1875) -> q_gen_1874
<nil, cons, cons>(q_gen_1876, q_gen_1852) -> q_gen_1875
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1877
<nil, cons, cons>(q_gen_1876, q_gen_1761) -> q_gen_1881
<cons, cons, cons>(q_gen_1816, q_gen_1883) -> q_gen_1882
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1883
<cons, cons, cons>(q_gen_1816, q_gen_1885) -> q_gen_1884
<cons, cons, cons>(q_gen_1794, q_gen_1760) -> q_gen_1885
<cons, cons, cons>(q_gen_1794, q_gen_1807) -> q_gen_1886
<cons, cons, cons>(q_gen_1809, q_gen_1889) -> q_gen_1888
<nil, cons, cons>(q_gen_1876, q_gen_1842) -> q_gen_1889
<cons, cons, cons>(q_gen_1816, q_gen_1891) -> q_gen_1890
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1891
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1892
<cons, cons, cons>(q_gen_1809, q_gen_1895) -> q_gen_1894
<cons, nil, cons>(q_gen_1762, q_gen_1896) -> q_gen_1895
<cons, cons, cons>(q_gen_1816, q_gen_1859) -> q_gen_1901
<cons, cons, cons>(q_gen_1776, q_gen_1783) -> q_gen_1903
<cons, cons, cons>(q_gen_1794, q_gen_1783) -> q_gen_1904
<cons, cons, cons>(q_gen_1776, q_gen_1910) -> q_gen_1909
<nil, nil, cons>(q_gen_1808, q_gen_1829) -> q_gen_1910
<cons, cons, cons>(q_gen_1816, q_gen_1913) -> q_gen_1912
<nil, cons, cons>(q_gen_1768, q_gen_1852) -> q_gen_1913
<cons, cons, cons>(q_gen_1776, q_gen_1895) -> q_gen_1916
<cons, cons, cons>(q_gen_1794, q_gen_1918) -> q_gen_1917
<cons, nil, cons>(q_gen_1768, q_gen_1896) -> q_gen_1918
<cons, cons, cons>(q_gen_1809, q_gen_1771) -> q_gen_1924
<cons, cons, cons>(q_gen_1816, q_gen_1772) -> q_gen_1925
<nil, cons, cons>(q_gen_1762, q_gen_1927) -> q_gen_1926
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1757, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1764, q_gen_1765, q_gen_1769, q_gen_1770, q_gen_1779, q_gen_1780, q_gen_1781, q_gen_1782, q_gen_1788, q_gen_1789, q_gen_1790, q_gen_1791, q_gen_1792, q_gen_1801, q_gen_1802, q_gen_1803, q_gen_1804, q_gen_1805, q_gen_1813, q_gen_1814, q_gen_1822, q_gen_1823, q_gen_1824, q_gen_1825, q_gen_1826, q_gen_1834, q_gen_1835, q_gen_1836, q_gen_1837, q_gen_1838, q_gen_1839, q_gen_1840, q_gen_1847, q_gen_1848, q_gen_1856, q_gen_1857, q_gen_1858, q_gen_1863, q_gen_1864, q_gen_1865, q_gen_1898, q_gen_1922, q_gen_1923, q_gen_1931},
Q_f={},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1792
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1802
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1823
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1826
<cons>(q_gen_1755, q_gen_1838) -> q_gen_1837
<cons>(q_gen_1759, q_gen_1802) -> q_gen_1838
<cons>(q_gen_1759, q_gen_1837) -> q_gen_1840
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1858
<cons>(q_gen_1755, q_gen_1792) -> q_gen_1865
<cons>(q_gen_1755, q_gen_1802) -> q_gen_1923
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1757
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1764
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1765
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1769
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1779
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1780
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1782
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1788
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1789
<a, nil>() -> q_gen_1790
<a, cons>(q_gen_1755, q_gen_1792) -> q_gen_1791
<a, cons>(q_gen_1759, q_gen_1802) -> q_gen_1801
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1803
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1804
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1805
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1813
<b, cons>(q_gen_1759, q_gen_1792) -> q_gen_1814
<a, cons>(q_gen_1755, q_gen_1823) -> q_gen_1822
<a, cons>(q_gen_1759, q_gen_1823) -> q_gen_1824
<b, cons>(q_gen_1759, q_gen_1826) -> q_gen_1825
<a, cons>(q_gen_1755, q_gen_1802) -> q_gen_1834
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1835
<a, cons>(q_gen_1759, q_gen_1837) -> q_gen_1836
<a, cons>(q_gen_1755, q_gen_1840) -> q_gen_1839
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1847
<b, cons>(q_gen_1759, q_gen_1823) -> q_gen_1848
<b, cons>(q_gen_1759, q_gen_1802) -> q_gen_1856
<b, cons>(q_gen_1755, q_gen_1858) -> q_gen_1857
<a, cons>(q_gen_1755, q_gen_1858) -> q_gen_1863
<a, cons>(q_gen_1755, q_gen_1865) -> q_gen_1864
<b, cons>(q_gen_1759, q_gen_1858) -> q_gen_1898
<a, cons>(q_gen_1755, q_gen_1923) -> q_gen_1922
<b, cons>(q_gen_1755, q_gen_1802) -> q_gen_1931
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1786, q_gen_1787, q_gen_1796, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1800, q_gen_1811, q_gen_1812, q_gen_1818, q_gen_1819, q_gen_1820, q_gen_1821, q_gen_1831, q_gen_1832, q_gen_1833, q_gen_1846, q_gen_1854, q_gen_1869, q_gen_1870, q_gen_1871, q_gen_1878, q_gen_1879, q_gen_1880, q_gen_1887, q_gen_1893, q_gen_1897, q_gen_1899, q_gen_1900, q_gen_1902, q_gen_1905, q_gen_1906, q_gen_1907, q_gen_1908, q_gen_1911, q_gen_1914, q_gen_1915, q_gen_1919, q_gen_1920, q_gen_1921, q_gen_1928, q_gen_1929, q_gen_1930, q_gen_1932},
Q_f={},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<a>() -> q_gen_1880
<cons>(q_gen_1799, q_gen_1798) -> q_gen_1930
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1787, q_gen_1752) -> q_gen_1786
<a, a>() -> q_gen_1787
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<cons, cons>(q_gen_1787, q_gen_1796) -> q_gen_1800
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1818
<cons, cons>(q_gen_1778, q_gen_1820) -> q_gen_1819
<cons, cons>(q_gen_1778, q_gen_1821) -> q_gen_1820
<cons, cons>(q_gen_1787, q_gen_1797) -> q_gen_1821
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1831
<cons, cons>(q_gen_1778, q_gen_1833) -> q_gen_1832
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1833
<cons, cons>(q_gen_1787, q_gen_1786) -> q_gen_1846
<cons, cons>(q_gen_1787, q_gen_1811) -> q_gen_1854
<cons, cons>(q_gen_1870, q_gen_1797) -> q_gen_1869
<b, a>() -> q_gen_1870
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1879) -> q_gen_1878
<nil, cons>(q_gen_1880, q_gen_1798) -> q_gen_1879
<cons, cons>(q_gen_1870, q_gen_1786) -> q_gen_1887
<cons, cons>(q_gen_1778, q_gen_1879) -> q_gen_1893
<cons, cons>(q_gen_1812, q_gen_1871) -> q_gen_1897
<cons, cons>(q_gen_1870, q_gen_1878) -> q_gen_1899
<cons, cons>(q_gen_1870, q_gen_1871) -> q_gen_1900
<cons, cons>(q_gen_1812, q_gen_1833) -> q_gen_1902
<cons, cons>(q_gen_1870, q_gen_1831) -> q_gen_1905
<cons, cons>(q_gen_1812, q_gen_1831) -> q_gen_1906
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1907
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1908
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1911
<cons, cons>(q_gen_1870, q_gen_1777) -> q_gen_1914
<cons, cons>(q_gen_1787, q_gen_1871) -> q_gen_1915
<cons, cons>(q_gen_1870, q_gen_1821) -> q_gen_1919
<cons, cons>(q_gen_1870, q_gen_1905) -> q_gen_1920
<cons, cons>(q_gen_1812, q_gen_1832) -> q_gen_1921
<cons, cons>(q_gen_1778, q_gen_1929) -> q_gen_1928
<nil, cons>(q_gen_1799, q_gen_1930) -> q_gen_1929
<cons, cons>(q_gen_1870, q_gen_1900) -> q_gen_1932
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

-------------------
STEPS:
-------------------------------------------
Step 0, which took 0.007428 s (model generation: 0.007106,  model checking: 0.000322):

Model:
|_
{
append -> 
{{{
Q={},
Q_f={},
Delta=
{

}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={},
Q_f={},
Delta=
{

}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={},
Q_f={},
Delta=
{

}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 0
() -> mem([h, cons(h, t)]) -> 0
() -> reverse([nil, nil]) -> 3
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 1
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 1
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 1
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 1
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 1
(mem([e, nil])) -> BOT -> 1
}
Sat witness: Found: (() -> reverse([nil, nil]), {

})

-------------------------------------------
Step 1, which took 0.007975 s (model generation: 0.007889,  model checking: 0.000086):

Model:
|_
{
append -> 
{{{
Q={},
Q_f={},
Delta=
{

}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={},
Q_f={},
Delta=
{

}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 0
() -> mem([h, cons(h, t)]) -> 3
() -> reverse([nil, nil]) -> 3
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 1
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 1
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 1
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 1
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 1
(mem([e, nil])) -> BOT -> 1
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> b  ;  t -> nil
})

-------------------------------------------
Step 2, which took 0.008193 s (model generation: 0.007268,  model checking: 0.000925):

Model:
|_
{
append -> 
{{{
Q={},
Q_f={},
Delta=
{

}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 3
() -> mem([h, cons(h, t)]) -> 3
() -> reverse([nil, nil]) -> 3
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 1
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 1
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 1
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 1
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 1
(mem([e, nil])) -> BOT -> 1
}
Sat witness: Found: (() -> append([nil, l2, l2]), {
l2 -> nil
})

-------------------------------------------
Step 3, which took 0.007772 s (model generation: 0.007428,  model checking: 0.000344):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756},
Q_f={q_gen_1756},
Delta=
{
<nil, nil, nil>() -> q_gen_1756
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 3
() -> mem([h, cons(h, t)]) -> 3
() -> reverse([nil, nil]) -> 3
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 1
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 1
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 1
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 4
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 2
(mem([e, nil])) -> BOT -> 2
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> b  ;  h -> a  ;  t -> cons(b, nil)
})

-------------------------------------------
Step 4, which took 0.009855 s (model generation: 0.009618,  model checking: 0.000237):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756},
Q_f={q_gen_1756},
Delta=
{
<nil, nil, nil>() -> q_gen_1756
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1754
<nil>() -> q_gen_1754
<a>() -> q_gen_1755
<b>() -> q_gen_1755
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 3
() -> mem([h, cons(h, t)]) -> 3
() -> reverse([nil, nil]) -> 3
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 1
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 4
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 2
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 4
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 2
(mem([e, nil])) -> BOT -> 2
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> nil  ;  h1 -> b  ;  l2 -> nil  ;  t1 -> nil
})

-------------------------------------------
Step 5, which took 0.010384 s (model generation: 0.010227,  model checking: 0.000157):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762},
Q_f={q_gen_1756},
Delta=
{
<nil, nil>() -> q_gen_1761
<b, b>() -> q_gen_1762
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1754
<nil>() -> q_gen_1754
<a>() -> q_gen_1755
<b>() -> q_gen_1755
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 3
() -> mem([h, cons(h, t)]) -> 3
() -> reverse([nil, nil]) -> 3
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 2
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 4
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 2
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 4
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 5
(mem([e, nil])) -> BOT -> 3
}
Sat witness: Found: ((mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]), {
e -> b  ;  h -> a  ;  t -> nil
})

-------------------------------------------
Step 6, which took 0.008742 s (model generation: 0.008563,  model checking: 0.000179):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762},
Q_f={q_gen_1756},
Delta=
{
<nil, nil>() -> q_gen_1761
<b, b>() -> q_gen_1762
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1754
<nil>() -> q_gen_1754
<a>() -> q_gen_1755
<b>() -> q_gen_1755
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, nil>() -> q_gen_1753
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 3
() -> mem([h, cons(h, t)]) -> 3
() -> reverse([nil, nil]) -> 3
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 3
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 4
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 3
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 4
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 5
(mem([e, nil])) -> BOT -> 6
}
Sat witness: Found: ((mem([e, nil])) -> BOT, {
e -> b
})

-------------------------------------------
Step 7, which took 0.010127 s (model generation: 0.008888,  model checking: 0.001239):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762},
Q_f={q_gen_1756},
Delta=
{
<nil, nil>() -> q_gen_1761
<b, b>() -> q_gen_1762
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<a>() -> q_gen_1759
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 3
() -> mem([h, cons(h, t)]) -> 6
() -> reverse([nil, nil]) -> 4
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 4
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 4
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 4
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 4
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 5
(mem([e, nil])) -> BOT -> 6
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> a  ;  t -> nil
})

-------------------------------------------
Step 8, which took 0.008910 s (model generation: 0.008606,  model checking: 0.000304):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762},
Q_f={q_gen_1756},
Delta=
{
<nil, nil>() -> q_gen_1761
<b, b>() -> q_gen_1762
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 6
() -> mem([h, cons(h, t)]) -> 6
() -> reverse([nil, nil]) -> 4
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 4
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 4
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 4
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 4
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 5
(mem([e, nil])) -> BOT -> 6
}
Sat witness: Found: (() -> append([nil, l2, l2]), {
l2 -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 9, which took 0.009920 s (model generation: 0.008912,  model checking: 0.001008):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762},
Q_f={q_gen_1756},
Delta=
{
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 6
() -> mem([h, cons(h, t)]) -> 6
() -> reverse([nil, nil]) -> 4
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 4
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 4
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 4
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 7
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 5
(mem([e, nil])) -> BOT -> 6
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> b  ;  h -> a  ;  t -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 10, which took 0.011078 s (model generation: 0.009801,  model checking: 0.001277):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762},
Q_f={q_gen_1756},
Delta=
{
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 6
() -> mem([h, cons(h, t)]) -> 6
() -> reverse([nil, nil]) -> 4
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 4
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 7
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 5
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 7
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 5
(mem([e, nil])) -> BOT -> 6
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, nil)  ;  h1 -> b  ;  l2 -> cons(b, nil)  ;  t1 -> nil
})

-------------------------------------------
Step 11, which took 0.015836 s (model generation: 0.015676,  model checking: 0.000160):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752},
Q_f={q_gen_1752},
Delta=
{
<nil, nil>() -> q_gen_1752
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 6
() -> mem([h, cons(h, t)]) -> 6
() -> reverse([nil, nil]) -> 4
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 7
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 7
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 5
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 7
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 5
(mem([e, nil])) -> BOT -> 6
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, nil)  ;  _zg -> nil  ;  h1 -> b  ;  t1 -> nil
})

-------------------------------------------
Step 12, which took 0.013516 s (model generation: 0.011317,  model checking: 0.002199):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 6
() -> mem([h, cons(h, t)]) -> 9
() -> reverse([nil, nil]) -> 5
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 7
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 7
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 6
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 7
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 6
(mem([e, nil])) -> BOT -> 7
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> b  ;  t -> cons(b, nil)
})

-------------------------------------------
Step 13, which took 0.014013 s (model generation: 0.011336,  model checking: 0.002677):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 7
() -> mem([h, cons(h, t)]) -> 9
() -> reverse([nil, nil]) -> 6
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 7
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 7
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 7
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 10
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 7
(mem([e, nil])) -> BOT -> 8
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> a  ;  h -> b  ;  t -> cons(a, nil)
})

-------------------------------------------
Step 14, which took 0.013078 s (model generation: 0.012485,  model checking: 0.000593):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 7
() -> mem([h, cons(h, t)]) -> 9
() -> reverse([nil, nil]) -> 7
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 7
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 7
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 7
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 10
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 10
(mem([e, nil])) -> BOT -> 8
}
Sat witness: Found: ((mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]), {
e -> b  ;  h -> a  ;  t -> cons(a, nil)
})

-------------------------------------------
Step 15, which took 0.014979 s (model generation: 0.013279,  model checking: 0.001700):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 7
() -> mem([h, cons(h, t)]) -> 9
() -> reverse([nil, nil]) -> 7
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 7
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 10
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 8
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 10
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 10
(mem([e, nil])) -> BOT -> 8
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, nil)  ;  h1 -> b  ;  l2 -> nil  ;  t1 -> nil
})

-------------------------------------------
Step 16, which took 0.014439 s (model generation: 0.014231,  model checking: 0.000208):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 7
() -> mem([h, cons(h, t)]) -> 9
() -> reverse([nil, nil]) -> 7
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 10
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 10
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 8
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 10
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 10
(mem([e, nil])) -> BOT -> 8
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, nil)  ;  _zg -> nil  ;  h1 -> a  ;  t1 -> nil
})

-------------------------------------------
Step 17, which took 0.017099 s (model generation: 0.015100,  model checking: 0.001999):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 8
() -> mem([h, cons(h, t)]) -> 12
() -> reverse([nil, nil]) -> 8
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 10
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 10
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 9
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 10
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 10
(mem([e, nil])) -> BOT -> 9
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> a  ;  t -> cons(b, nil)
})

-------------------------------------------
Step 18, which took 0.016753 s (model generation: 0.014747,  model checking: 0.002006):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 9
() -> mem([h, cons(h, t)]) -> 12
() -> reverse([nil, nil]) -> 9
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 10
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 10
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 10
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 10
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 13
(mem([e, nil])) -> BOT -> 10
}
Sat witness: Found: ((mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]), {
e -> a  ;  h -> b  ;  t -> nil
})

-------------------------------------------
Step 19, which took 0.016755 s (model generation: 0.016382,  model checking: 0.000373):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, nil>() -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 10
() -> mem([h, cons(h, t)]) -> 12
() -> reverse([nil, nil]) -> 10
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 10
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 10
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 10
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 10
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 13
(mem([e, nil])) -> BOT -> 13
}
Sat witness: Found: ((mem([e, nil])) -> BOT, {
e -> a
})

-------------------------------------------
Step 20, which took 0.023284 s (model generation: 0.021615,  model checking: 0.001669):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 10
() -> mem([h, cons(h, t)]) -> 12
() -> reverse([nil, nil]) -> 10
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 10
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 10
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 10
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 13
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 13
(mem([e, nil])) -> BOT -> 13
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> a  ;  h -> b  ;  t -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 21, which took 0.020021 s (model generation: 0.017416,  model checking: 0.002605):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 10
() -> mem([h, cons(h, t)]) -> 12
() -> reverse([nil, nil]) -> 10
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 10
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 13
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 11
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 13
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 13
(mem([e, nil])) -> BOT -> 13
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, nil)  ;  h1 -> a  ;  l2 -> cons(b, nil)  ;  t1 -> nil
})

-------------------------------------------
Step 22, which took 0.018002 s (model generation: 0.017768,  model checking: 0.000234):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778},
Q_f={q_gen_1752},
Delta=
{
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 10
() -> mem([h, cons(h, t)]) -> 12
() -> reverse([nil, nil]) -> 10
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 13
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 13
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 11
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 13
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 13
(mem([e, nil])) -> BOT -> 13
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, cons(b, nil))  ;  _zg -> nil  ;  h1 -> b  ;  t1 -> nil
})

-------------------------------------------
Step 23, which took 0.021746 s (model generation: 0.019500,  model checking: 0.002246):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 11
() -> mem([h, cons(h, t)]) -> 12
() -> reverse([nil, nil]) -> 11
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 13
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 13
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 14
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 13
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 13
(mem([e, nil])) -> BOT -> 13
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(a, cons(b, cons(b, nil)))  ;  e -> a  ;  l1 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 24, which took 0.023400 s (model generation: 0.022670,  model checking: 0.000730):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 12
() -> mem([h, cons(h, t)]) -> 15
() -> reverse([nil, nil]) -> 12
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 13
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 13
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 14
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 13
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 13
(mem([e, nil])) -> BOT -> 13
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> b  ;  t -> cons(a, nil)
})

-------------------------------------------
Step 25, which took 0.023511 s (model generation: 0.022239,  model checking: 0.001272):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 13
() -> mem([h, cons(h, t)]) -> 15
() -> reverse([nil, nil]) -> 13
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 13
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 13
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 14
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 13
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 16
(mem([e, nil])) -> BOT -> 14
}
Sat witness: Found: ((mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]), {
e -> a  ;  h -> b  ;  t -> cons(b, nil)
})

-------------------------------------------
Step 26, which took 0.024949 s (model generation: 0.023474,  model checking: 0.001475):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 13
() -> mem([h, cons(h, t)]) -> 15
() -> reverse([nil, nil]) -> 13
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 13
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 13
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 14
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 16
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 16
(mem([e, nil])) -> BOT -> 14
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> a  ;  h -> b  ;  t -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 27, which took 0.027513 s (model generation: 0.025446,  model checking: 0.002067):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 13
() -> mem([h, cons(h, t)]) -> 15
() -> reverse([nil, nil]) -> 13
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 13
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 16
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 14
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 16
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 16
(mem([e, nil])) -> BOT -> 14
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(a, nil)  ;  h1 -> b  ;  l2 -> cons(a, nil)  ;  t1 -> nil
})

-------------------------------------------
Step 28, which took 0.028626 s (model generation: 0.028125,  model checking: 0.000501):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 13
() -> mem([h, cons(h, t)]) -> 15
() -> reverse([nil, nil]) -> 13
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 16
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 16
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 14
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 16
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 16
(mem([e, nil])) -> BOT -> 14
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, nil)  ;  _zg -> cons(b, nil)  ;  h1 -> a  ;  t1 -> nil
})

-------------------------------------------
Step 29, which took 0.031883 s (model generation: 0.028998,  model checking: 0.002885):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<a, b>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 14
() -> mem([h, cons(h, t)]) -> 15
() -> reverse([nil, nil]) -> 14
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 16
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 16
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 17
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 16
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 16
(mem([e, nil])) -> BOT -> 15
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(b, nil)  ;  e -> a  ;  l1 -> cons(a, nil)
})

-------------------------------------------
Step 30, which took 0.030332 s (model generation: 0.029197,  model checking: 0.001135):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 15
() -> mem([h, cons(h, t)]) -> 18
() -> reverse([nil, nil]) -> 15
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 16
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 16
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 17
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 16
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 16
(mem([e, nil])) -> BOT -> 16
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> b  ;  t -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 31, which took 0.034885 s (model generation: 0.029003,  model checking: 0.005882):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 16
() -> mem([h, cons(h, t)]) -> 18
() -> reverse([nil, nil]) -> 16
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 16
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 16
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 17
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 19
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 17
(mem([e, nil])) -> BOT -> 17
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> b  ;  h -> a  ;  t -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 32, which took 0.032984 s (model generation: 0.031307,  model checking: 0.001677):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 16
() -> mem([h, cons(h, t)]) -> 18
() -> reverse([nil, nil]) -> 16
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 16
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 19
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 17
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 19
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 17
(mem([e, nil])) -> BOT -> 17
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(a, nil)  ;  h1 -> a  ;  l2 -> cons(a, nil)  ;  t1 -> nil
})

-------------------------------------------
Step 33, which took 0.033099 s (model generation: 0.032735,  model checking: 0.000364):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 16
() -> mem([h, cons(h, t)]) -> 18
() -> reverse([nil, nil]) -> 16
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 19
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 19
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 17
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 19
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 17
(mem([e, nil])) -> BOT -> 17
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, cons(b, cons(b, nil)))  ;  _zg -> cons(b, cons(b, nil))  ;  h1 -> a  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 34, which took 0.043881 s (model generation: 0.036249,  model checking: 0.007632):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 17
() -> mem([h, cons(h, t)]) -> 18
() -> reverse([nil, nil]) -> 17
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 19
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 19
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 20
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 19
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 18
(mem([e, nil])) -> BOT -> 18
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(b, cons(b, cons(a, cons(b, nil))))  ;  e -> a  ;  l1 -> cons(b, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 35, which took 0.041130 s (model generation: 0.040394,  model checking: 0.000736):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1767, q_gen_1771, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1767
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1767) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1771
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1771
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1798, q_gen_1799},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1777
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1777
<a, a>() -> q_gen_1778
<a, b>() -> q_gen_1778
<b, b>() -> q_gen_1778
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 20
() -> mem([h, cons(h, t)]) -> 18
() -> reverse([nil, nil]) -> 18
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 19
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 19
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 20
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 19
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 18
(mem([e, nil])) -> BOT -> 18
}
Sat witness: Found: (() -> append([nil, l2, l2]), {
l2 -> cons(b, nil)
})

-------------------------------------------
Step 36, which took 0.047428 s (model generation: 0.039928,  model checking: 0.007500):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 20
() -> mem([h, cons(h, t)]) -> 21
() -> reverse([nil, nil]) -> 19
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 19
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 19
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 20
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 19
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 19
(mem([e, nil])) -> BOT -> 19
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> a  ;  t -> cons(b, cons(a, cons(b, nil)))
})

-------------------------------------------
Step 37, which took 0.049024 s (model generation: 0.041380,  model checking: 0.007644):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 20
() -> mem([h, cons(h, t)]) -> 21
() -> reverse([nil, nil]) -> 19
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 19
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 19
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 20
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 22
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 20
(mem([e, nil])) -> BOT -> 20
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> b  ;  h -> a  ;  t -> cons(a, cons(a, cons(b, nil)))
})

-------------------------------------------
Step 38, which took 0.046617 s (model generation: 0.044590,  model checking: 0.002027):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752, q_gen_1777},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1777
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 20
() -> mem([h, cons(h, t)]) -> 21
() -> reverse([nil, nil]) -> 19
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 19
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 22
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 20
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 22
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 20
(mem([e, nil])) -> BOT -> 20
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(b, nil))  ;  h1 -> a  ;  l2 -> cons(b, nil)  ;  t1 -> nil
})

-------------------------------------------
Step 39, which took 0.046070 s (model generation: 0.045407,  model checking: 0.000663):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 20
() -> mem([h, cons(h, t)]) -> 21
() -> reverse([nil, nil]) -> 19
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 22
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 22
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 20
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 22
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 20
(mem([e, nil])) -> BOT -> 20
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, cons(b, nil))  ;  _zg -> cons(b, nil)  ;  h1 -> a  ;  t1 -> nil
})

-------------------------------------------
Step 40, which took 0.067058 s (model generation: 0.052846,  model checking: 0.014212):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 20
() -> mem([h, cons(h, t)]) -> 21
() -> reverse([nil, nil]) -> 20
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 22
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 22
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 23
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 22
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 21
(mem([e, nil])) -> BOT -> 21
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(b, cons(b, cons(b, nil)))  ;  e -> a  ;  l1 -> cons(b, cons(a, cons(b, nil)))
})

-------------------------------------------
Step 41, which took 0.057089 s (model generation: 0.055371,  model checking: 0.001718):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 21
() -> mem([h, cons(h, t)]) -> 21
() -> reverse([nil, nil]) -> 21
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 22
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 22
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 23
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 22
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 24
(mem([e, nil])) -> BOT -> 22
}
Sat witness: Found: ((mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]), {
e -> a  ;  h -> b  ;  t -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 42, which took 0.056376 s (model generation: 0.055738,  model checking: 0.000638):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752, q_gen_1777},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1777
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 21
() -> mem([h, cons(h, t)]) -> 24
() -> reverse([nil, nil]) -> 22
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 22
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 22
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 23
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 22
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 24
(mem([e, nil])) -> BOT -> 22
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> a  ;  t -> cons(a, nil)
})

-------------------------------------------
Step 43, which took 0.059548 s (model generation: 0.056236,  model checking: 0.003312):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752, q_gen_1777},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1777
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 22
() -> mem([h, cons(h, t)]) -> 24
() -> reverse([nil, nil]) -> 22
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 22
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 22
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 23
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 25
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 24
(mem([e, nil])) -> BOT -> 23
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> a  ;  h -> b  ;  t -> cons(a, cons(b, cons(a, cons(b, cons(b, nil)))))
})

-------------------------------------------
Step 44, which took 0.070560 s (model generation: 0.064328,  model checking: 0.006232):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752, q_gen_1777},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1777
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 22
() -> mem([h, cons(h, t)]) -> 24
() -> reverse([nil, nil]) -> 22
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 22
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 25
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 23
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 25
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 24
(mem([e, nil])) -> BOT -> 23
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(a, cons(b, nil))  ;  h1 -> b  ;  l2 -> cons(a, cons(b, nil))  ;  t1 -> nil
})

-------------------------------------------
Step 45, which took 0.068839 s (model generation: 0.067686,  model checking: 0.001153):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752, q_gen_1777},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1777
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 22
() -> mem([h, cons(h, t)]) -> 24
() -> reverse([nil, nil]) -> 22
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 25
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 25
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 23
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 25
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 24
(mem([e, nil])) -> BOT -> 23
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(a, nil))  ;  _zg -> cons(a, nil)  ;  h1 -> a  ;  t1 -> cons(a, nil)
})

-------------------------------------------
Step 46, which took 2.483051 s (model generation: 0.077220,  model checking: 2.405831):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 23
() -> mem([h, cons(h, t)]) -> 27
() -> reverse([nil, nil]) -> 23
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 25
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 25
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 24
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 25
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 25
(mem([e, nil])) -> BOT -> 24
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> a  ;  t -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 47, which took 0.079421 s (model generation: 0.076023,  model checking: 0.003398):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1818},
Q_f={q_gen_1752, q_gen_1777, q_gen_1818},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1818) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1818
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 24
() -> mem([h, cons(h, t)]) -> 27
() -> reverse([nil, nil]) -> 24
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 25
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 25
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 27
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 25
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 25
(mem([e, nil])) -> BOT -> 25
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(b, cons(b, cons(b, nil)))  ;  e -> a  ;  l1 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 48, which took 2.104951 s (model generation: 0.077962,  model checking: 2.026989):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 25
() -> mem([h, cons(h, t)]) -> 27
() -> reverse([nil, nil]) -> 25
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 25
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 25
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 27
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 28
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 26
(mem([e, nil])) -> BOT -> 26
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> b  ;  h -> a  ;  t -> cons(b, cons(a, cons(b, nil)))
})

-------------------------------------------
Step 49, which took 0.078259 s (model generation: 0.077159,  model checking: 0.001100):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 25
() -> mem([h, cons(h, t)]) -> 27
() -> reverse([nil, nil]) -> 25
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 25
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 28
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 27
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 28
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 26
(mem([e, nil])) -> BOT -> 26
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(a, nil))  ;  h1 -> a  ;  l2 -> cons(b, nil)  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 50, which took 0.086375 s (model generation: 0.085157,  model checking: 0.001218):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1758
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 25
() -> mem([h, cons(h, t)]) -> 27
() -> reverse([nil, nil]) -> 25
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 28
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 28
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 27
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 28
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 26
(mem([e, nil])) -> BOT -> 26
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(b, nil))  ;  _zg -> cons(a, nil)  ;  h1 -> a  ;  t1 -> cons(a, nil)
})

-------------------------------------------
Step 51, which took 0.122549 s (model generation: 0.121962,  model checking: 0.000587):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1767, q_gen_1768, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1785},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1768, q_gen_1761) -> q_gen_1767
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1767
<a, a>() -> q_gen_1768
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1767) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1768, q_gen_1767) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1785) -> q_gen_1785
<nil, cons, cons>(q_gen_1762, q_gen_1767) -> q_gen_1785
<nil, cons, cons>(q_gen_1768, q_gen_1761) -> q_gen_1785
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1786, q_gen_1787, q_gen_1798, q_gen_1799},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1786) -> q_gen_1786
<cons, cons>(q_gen_1787, q_gen_1752) -> q_gen_1786
<cons, cons>(q_gen_1787, q_gen_1786) -> q_gen_1786
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1786
<a, a>() -> q_gen_1787
<a, b>() -> q_gen_1787
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 28
() -> mem([h, cons(h, t)]) -> 27
() -> reverse([nil, nil]) -> 26
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 28
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 28
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 27
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 28
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 26
(mem([e, nil])) -> BOT -> 26
}
Sat witness: Found: (() -> append([nil, l2, l2]), {
l2 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 52, which took 0.197366 s (model generation: 0.190548,  model checking: 0.006818):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1787, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
<a, a>() -> q_gen_1787
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 28
() -> mem([h, cons(h, t)]) -> 27
() -> reverse([nil, nil]) -> 27
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 28
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 28
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 30
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 28
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 27
(mem([e, nil])) -> BOT -> 27
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(a, cons(b, cons(b, nil)))  ;  e -> b  ;  l1 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 53, which took 0.202253 s (model generation: 0.199622,  model checking: 0.002631):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1787, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
<a, a>() -> q_gen_1787
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 28
() -> mem([h, cons(h, t)]) -> 30
() -> reverse([nil, nil]) -> 28
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 28
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 28
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 30
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 28
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 28
(mem([e, nil])) -> BOT -> 28
}
Sat witness: Found: (() -> mem([h, cons(h, t)]), {
h -> b  ;  t -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 54, which took 0.201467 s (model generation: 0.197185,  model checking: 0.004282):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1787, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
<a, a>() -> q_gen_1787
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 28
() -> mem([h, cons(h, t)]) -> 30
() -> reverse([nil, nil]) -> 28
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 28
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 31
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 30
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 29
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 29
(mem([e, nil])) -> BOT -> 29
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(a, nil))  ;  h1 -> b  ;  l2 -> nil  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 55, which took 0.186905 s (model generation: 0.185408,  model checking: 0.001497):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1787, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
<a, a>() -> q_gen_1787
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 28
() -> mem([h, cons(h, t)]) -> 30
() -> reverse([nil, nil]) -> 28
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 31
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 31
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 30
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 29
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 29
(mem([e, nil])) -> BOT -> 29
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, cons(b, cons(b, nil)))  ;  _zg -> cons(b, nil)  ;  h1 -> a  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 56, which took 0.195774 s (model generation: 0.188063,  model checking: 0.007711):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 29
() -> mem([h, cons(h, t)]) -> 31
() -> reverse([nil, nil]) -> 29
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 31
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 34
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 31
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 30
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 30
(mem([e, nil])) -> BOT -> 30
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(a, nil))  ;  h1 -> b  ;  l2 -> cons(a, nil)  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 57, which took 0.256081 s (model generation: 0.252494,  model checking: 0.003587):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1829},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1829
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1829) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1787, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
<a, a>() -> q_gen_1787
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 30
() -> mem([h, cons(h, t)]) -> 31
() -> reverse([nil, nil]) -> 30
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 31
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 34
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 31
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 33
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 31
(mem([e, nil])) -> BOT -> 31
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> a  ;  h -> b  ;  t -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 58, which took 0.189350 s (model generation: 0.188891,  model checking: 0.000459):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1767, q_gen_1768, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1785, q_gen_1809},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1768, q_gen_1761) -> q_gen_1767
<a, a>() -> q_gen_1768
<b, a>() -> q_gen_1768
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1767) -> q_gen_1756
<nil, cons, cons>(q_gen_1768, q_gen_1767) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1785
<cons, cons, cons>(q_gen_1809, q_gen_1785) -> q_gen_1785
<nil, cons, cons>(q_gen_1768, q_gen_1761) -> q_gen_1785
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 33
() -> mem([h, cons(h, t)]) -> 31
() -> reverse([nil, nil]) -> 31
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 31
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 34
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 31
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 33
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 31
(mem([e, nil])) -> BOT -> 31
}
Sat witness: Found: (() -> append([nil, l2, l2]), {
l2 -> cons(a, nil)
})

-------------------------------------------
Step 59, which took 0.191871 s (model generation: 0.181157,  model checking: 0.010714):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1829},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1829
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1829) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1787, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1787, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<b, b>() -> q_gen_1778
<a, a>() -> q_gen_1787
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 33
() -> mem([h, cons(h, t)]) -> 31
() -> reverse([nil, nil]) -> 31
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 34
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 34
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 32
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 33
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 32
(mem([e, nil])) -> BOT -> 32
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, cons(b, nil))  ;  _zg -> cons(b, nil)  ;  h1 -> a  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 60, which took 0.198411 s (model generation: 0.176602,  model checking: 0.021809):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1795
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 33
() -> mem([h, cons(h, t)]) -> 32
() -> reverse([nil, nil]) -> 32
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 34
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 34
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 33
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 36
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 33
(mem([e, nil])) -> BOT -> 33
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> a  ;  h -> b  ;  t -> cons(b, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 61, which took 0.195702 s (model generation: 0.190044,  model checking: 0.005658):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 34
() -> mem([h, cons(h, t)]) -> 33
() -> reverse([nil, nil]) -> 33
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 34
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 37
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 34
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 36
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 34
(mem([e, nil])) -> BOT -> 34
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(a, nil)  ;  h1 -> b  ;  l2 -> cons(b, nil)  ;  t1 -> cons(a, nil)
})

-------------------------------------------
Step 62, which took 0.238575 s (model generation: 0.233074,  model checking: 0.005501):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1807, q_gen_1808, q_gen_1809},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 34
() -> mem([h, cons(h, t)]) -> 34
() -> reverse([nil, nil]) -> 34
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 37
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 37
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 35
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 36
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 35
(mem([e, nil])) -> BOT -> 35
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(b, nil))  ;  _zg -> nil  ;  h1 -> b  ;  t1 -> nil
})

-------------------------------------------
Step 63, which took 0.265911 s (model generation: 0.262393,  model checking: 0.003518):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1807, q_gen_1808, q_gen_1809},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 35
() -> mem([h, cons(h, t)]) -> 35
() -> reverse([nil, nil]) -> 35
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 37
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 37
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 38
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 36
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 36
(mem([e, nil])) -> BOT -> 36
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(a, nil)  ;  e -> b  ;  l1 -> cons(b, nil)
})

-------------------------------------------
Step 64, which took 0.257413 s (model generation: 0.253445,  model checking: 0.003968):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1754
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 36
() -> mem([h, cons(h, t)]) -> 36
() -> reverse([nil, nil]) -> 36
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 37
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 37
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 38
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 39
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 37
(mem([e, nil])) -> BOT -> 37
}
Sat witness: Found: ((mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]), {
e -> b  ;  h -> a  ;  t -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 65, which took 0.286296 s (model generation: 0.283304,  model checking: 0.002992):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1767, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1767) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1767
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1767
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1767) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1767) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 37
() -> mem([h, cons(h, t)]) -> 37
() -> reverse([nil, nil]) -> 37
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 37
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 40
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 38
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 39
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 38
(mem([e, nil])) -> BOT -> 38
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(a, nil)  ;  h1 -> b  ;  l2 -> nil  ;  t1 -> cons(a, nil)
})

-------------------------------------------
Step 66, which took 0.269767 s (model generation: 0.269567,  model checking: 0.000200):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 37
() -> mem([h, cons(h, t)]) -> 37
() -> reverse([nil, nil]) -> 37
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 40
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 40
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 38
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 39
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 38
(mem([e, nil])) -> BOT -> 38
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, nil)  ;  _zg -> nil  ;  h1 -> b  ;  t1 -> nil
})

-------------------------------------------
Step 67, which took 0.909523 s (model generation: 0.214834,  model checking: 0.694689):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 38
() -> mem([h, cons(h, t)]) -> 38
() -> reverse([nil, nil]) -> 38
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 40
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 43
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 39
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 40
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 39
(mem([e, nil])) -> BOT -> 39
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(a, nil))  ;  h1 -> b  ;  l2 -> cons(b, cons(a, nil))  ;  t1 -> nil
})

-------------------------------------------
Step 68, which took 0.252930 s (model generation: 0.245742,  model checking: 0.007188):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 39
() -> mem([h, cons(h, t)]) -> 39
() -> reverse([nil, nil]) -> 39
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 43
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 43
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 40
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 41
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 40
(mem([e, nil])) -> BOT -> 40
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(a, nil))  ;  _zg -> nil  ;  h1 -> b  ;  t1 -> nil
})

-------------------------------------------
Step 69, which took 0.257880 s (model generation: 0.250663,  model checking: 0.007217):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<a, b>() -> q_gen_1762
<b, b>() -> q_gen_1762
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 40
() -> mem([h, cons(h, t)]) -> 40
() -> reverse([nil, nil]) -> 40
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 43
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 46
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 41
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 42
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 41
(mem([e, nil])) -> BOT -> 41
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, nil)  ;  h1 -> b  ;  l2 -> cons(a, nil)  ;  t1 -> nil
})

-------------------------------------------
Step 70, which took 0.260307 s (model generation: 0.255086,  model checking: 0.005221):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 41
() -> mem([h, cons(h, t)]) -> 41
() -> reverse([nil, nil]) -> 41
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 46
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 46
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 42
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 43
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 42
(mem([e, nil])) -> BOT -> 42
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, nil)  ;  _zg -> cons(a, nil)  ;  h1 -> b  ;  t1 -> nil
})

-------------------------------------------
Step 71, which took 0.299039 s (model generation: 0.291113,  model checking: 0.007926):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 42
() -> mem([h, cons(h, t)]) -> 42
() -> reverse([nil, nil]) -> 42
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 46
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 49
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 43
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 44
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 43
(mem([e, nil])) -> BOT -> 43
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(a, cons(b, nil))  ;  h1 -> a  ;  l2 -> cons(a, cons(b, nil))  ;  t1 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 72, which took 0.356946 s (model generation: 0.350440,  model checking: 0.006506):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1760
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 43
() -> mem([h, cons(h, t)]) -> 43
() -> reverse([nil, nil]) -> 43
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 49
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 49
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 44
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 45
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 44
(mem([e, nil])) -> BOT -> 44
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(a, nil))  ;  _zg -> cons(a, nil)  ;  h1 -> b  ;  t1 -> cons(a, nil)
})

-------------------------------------------
Step 73, which took 0.384746 s (model generation: 0.376514,  model checking: 0.008232):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 44
() -> mem([h, cons(h, t)]) -> 44
() -> reverse([nil, nil]) -> 44
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 49
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 52
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 45
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 46
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 45
(mem([e, nil])) -> BOT -> 45
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(b, cons(b, nil)))  ;  h1 -> a  ;  l2 -> cons(a, cons(a, cons(b, nil)))  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 74, which took 0.515199 s (model generation: 0.509144,  model checking: 0.006055):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1807
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 45
() -> mem([h, cons(h, t)]) -> 45
() -> reverse([nil, nil]) -> 45
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 52
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 52
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 46
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 47
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 46
(mem([e, nil])) -> BOT -> 46
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, cons(a, nil))  ;  _zg -> nil  ;  h1 -> b  ;  t1 -> nil
})

-------------------------------------------
Step 75, which took 0.478743 s (model generation: 0.470927,  model checking: 0.007816):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1783, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1783},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1809, q_gen_1783) -> q_gen_1783
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1783
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1783
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1783
<cons, cons, cons>(q_gen_1776, q_gen_1783) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 46
() -> mem([h, cons(h, t)]) -> 46
() -> reverse([nil, nil]) -> 46
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 52
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 55
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 47
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 48
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 47
(mem([e, nil])) -> BOT -> 47
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(b, cons(b, nil)))  ;  h1 -> b  ;  l2 -> cons(a, nil)  ;  t1 -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 76, which took 0.516974 s (model generation: 0.511143,  model checking: 0.005831):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 47
() -> mem([h, cons(h, t)]) -> 47
() -> reverse([nil, nil]) -> 47
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 55
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 55
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 48
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 49
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 48
(mem([e, nil])) -> BOT -> 48
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, cons(a, nil))  ;  _zg -> cons(b, nil)  ;  h1 -> a  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 77, which took 0.756541 s (model generation: 0.754347,  model checking: 0.002194):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1880},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<a>() -> q_gen_1880
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<nil, cons>(q_gen_1880, q_gen_1798) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 48
() -> mem([h, cons(h, t)]) -> 48
() -> reverse([nil, nil]) -> 48
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 55
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 55
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 48
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 49
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 51
(mem([e, nil])) -> BOT -> 49
}
Sat witness: Found: ((mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]), {
e -> b  ;  h -> a  ;  t -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 78, which took 0.720238 s (model generation: 0.712567,  model checking: 0.007671):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 48
() -> mem([h, cons(h, t)]) -> 48
() -> reverse([nil, nil]) -> 48
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 55
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 55
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 51
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 49
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 51
(mem([e, nil])) -> BOT -> 49
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(a, cons(a, nil))  ;  e -> b  ;  l1 -> cons(b, nil)
})

-------------------------------------------
Step 79, which took 0.839354 s (model generation: 0.832632,  model checking: 0.006722):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1807
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 49
() -> mem([h, cons(h, t)]) -> 49
() -> reverse([nil, nil]) -> 49
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 55
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 55
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 54
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 50
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 52
(mem([e, nil])) -> BOT -> 50
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(a, cons(a, cons(a, nil)))  ;  e -> b  ;  l1 -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 80, which took 1.017970 s (model generation: 1.011640,  model checking: 0.006330):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1812
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 50
() -> mem([h, cons(h, t)]) -> 50
() -> reverse([nil, nil]) -> 50
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 55
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 55
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 57
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 51
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 53
(mem([e, nil])) -> BOT -> 51
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(a, cons(a, nil))  ;  e -> b  ;  l1 -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 81, which took 0.976485 s (model generation: 0.969819,  model checking: 0.006666):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1870},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 51
() -> mem([h, cons(h, t)]) -> 51
() -> reverse([nil, nil]) -> 51
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 55
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 58
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 57
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 52
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 54
(mem([e, nil])) -> BOT -> 52
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(b, cons(a, nil)))  ;  h1 -> a  ;  l2 -> cons(a, nil)  ;  t1 -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 82, which took 0.963816 s (model generation: 0.958503,  model checking: 0.005313):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1870},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 52
() -> mem([h, cons(h, t)]) -> 52
() -> reverse([nil, nil]) -> 52
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 58
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 58
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 57
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 53
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 55
(mem([e, nil])) -> BOT -> 53
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(b, nil))  ;  _zg -> cons(a, nil)  ;  h1 -> b  ;  t1 -> nil
})

-------------------------------------------
Step 83, which took 0.892081 s (model generation: 0.883615,  model checking: 0.008466):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1870},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1796
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 53
() -> mem([h, cons(h, t)]) -> 53
() -> reverse([nil, nil]) -> 53
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 58
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 58
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 60
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 54
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 56
(mem([e, nil])) -> BOT -> 54
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(b, cons(b, cons(b, nil)))  ;  e -> a  ;  l1 -> cons(a, cons(a, cons(b, nil)))
})

-------------------------------------------
Step 84, which took 1.029033 s (model generation: 1.022276,  model checking: 0.006757):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1808, q_gen_1809, q_gen_1844, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1844) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1844) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1844
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1844
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1818, q_gen_1870},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1818) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1818
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1818
<cons, cons>(q_gen_1870, q_gen_1818) -> q_gen_1818
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 54
() -> mem([h, cons(h, t)]) -> 54
() -> reverse([nil, nil]) -> 54
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 58
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 61
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 60
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 55
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 57
(mem([e, nil])) -> BOT -> 55
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(b, nil))  ;  h1 -> b  ;  l2 -> cons(b, nil)  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 85, which took 1.473100 s (model generation: 1.467851,  model checking: 0.005249):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1796, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1870},
Q_f={q_gen_1752, q_gen_1777, q_gen_1796},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1777) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1796
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1797
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1870, q_gen_1797) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 55
() -> mem([h, cons(h, t)]) -> 55
() -> reverse([nil, nil]) -> 55
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 61
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 61
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 60
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 56
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 58
(mem([e, nil])) -> BOT -> 56
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(b, cons(b, nil)))  ;  _zg -> cons(a, cons(b, nil))  ;  h1 -> b  ;  t1 -> cons(a, nil)
})

-------------------------------------------
Step 86, which took 1.405617 s (model generation: 1.395787,  model checking: 0.009830):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1783, q_gen_1784, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1783) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1783) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1783
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1783
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1783
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1783
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1818, q_gen_1870},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1818) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1818
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1818
<cons, cons>(q_gen_1870, q_gen_1818) -> q_gen_1818
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 56
() -> mem([h, cons(h, t)]) -> 56
() -> reverse([nil, nil]) -> 56
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 61
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 61
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 63
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 57
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 59
(mem([e, nil])) -> BOT -> 57
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(b, cons(b, cons(b, nil)))  ;  e -> a  ;  l1 -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 87, which took 1.348158 s (model generation: 1.343439,  model checking: 0.004719):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1783, q_gen_1784, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1783) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1783) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1783
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1783
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1783
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1870, q_gen_1871},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1871) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1871) -> q_gen_1871
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 57
() -> mem([h, cons(h, t)]) -> 57
() -> reverse([nil, nil]) -> 57
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 61
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 64
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 63
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 58
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 60
(mem([e, nil])) -> BOT -> 58
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(a, nil)  ;  h1 -> b  ;  l2 -> nil  ;  t1 -> nil
})

-------------------------------------------
Step 88, which took 1.676601 s (model generation: 1.667591,  model checking: 0.009010):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1796, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1870},
Q_f={q_gen_1752, q_gen_1777, q_gen_1796},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1777) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1796
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1797
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1870, q_gen_1797) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 58
() -> mem([h, cons(h, t)]) -> 58
() -> reverse([nil, nil]) -> 58
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 64
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 64
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 63
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 59
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 61
(mem([e, nil])) -> BOT -> 59
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, cons(b, cons(b, nil)))  ;  _zg -> cons(b, cons(b, nil))  ;  h1 -> b  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 89, which took 1.595909 s (model generation: 1.588606,  model checking: 0.007303):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1829, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<a>() -> q_gen_1775
<b>() -> q_gen_1775
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1829
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<a, b>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1829) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, a, a>() -> q_gen_1776
<a, b, a>() -> q_gen_1776
<b, a, b>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1833, q_gen_1870},
Q_f={q_gen_1752, q_gen_1777, q_gen_1833},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1777) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1778, q_gen_1833) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1833) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1811
<a, b>() -> q_gen_1812
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1833
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1833
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 59
() -> mem([h, cons(h, t)]) -> 59
() -> reverse([nil, nil]) -> 59
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 64
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 64
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 66
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 60
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 62
(mem([e, nil])) -> BOT -> 60
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(b, cons(b, nil))  ;  e -> a  ;  l1 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 90, which took 1.904920 s (model generation: 1.899011,  model checking: 0.005909):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1870, q_gen_1871, q_gen_1880},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<a>() -> q_gen_1880
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1871) -> q_gen_1871
<nil, cons>(q_gen_1880, q_gen_1798) -> q_gen_1871
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 60
() -> mem([h, cons(h, t)]) -> 60
() -> reverse([nil, nil]) -> 60
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 64
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 67
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 66
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 61
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 63
(mem([e, nil])) -> BOT -> 61
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(a, cons(b, nil))  ;  h1 -> b  ;  l2 -> cons(b, nil)  ;  t1 -> nil
})

-------------------------------------------
Step 91, which took 1.773437 s (model generation: 1.767665,  model checking: 0.005772):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1870},
Q_f={q_gen_1752, q_gen_1777},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1777
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1777
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1777
<cons, cons>(q_gen_1870, q_gen_1777) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1797
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1797) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 61
() -> mem([h, cons(h, t)]) -> 61
() -> reverse([nil, nil]) -> 61
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 67
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 67
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 66
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 62
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 64
(mem([e, nil])) -> BOT -> 62
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(b, nil))  ;  _zg -> cons(a, nil)  ;  h1 -> b  ;  t1 -> cons(a, nil)
})

-------------------------------------------
Step 92, which took 1.906559 s (model generation: 1.896504,  model checking: 0.010055):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1777, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1870},
Q_f={q_gen_1752, q_gen_1777},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1777) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1777
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1777
<cons, cons>(q_gen_1870, q_gen_1777) -> q_gen_1777
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1797
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1797
<cons, cons>(q_gen_1870, q_gen_1797) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1777) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 62
() -> mem([h, cons(h, t)]) -> 62
() -> reverse([nil, nil]) -> 62
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 67
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 67
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 69
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 63
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 65
(mem([e, nil])) -> BOT -> 63
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(b, cons(b, nil))  ;  e -> a  ;  l1 -> cons(a, nil)
})

-------------------------------------------
Step 93, which took 2.145582 s (model generation: 2.141212,  model checking: 0.004370):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1766, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1766},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1766) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1766
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1766
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1766
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1766) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1870, q_gen_1871, q_gen_1880},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<a>() -> q_gen_1880
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1871) -> q_gen_1871
<nil, cons>(q_gen_1880, q_gen_1798) -> q_gen_1871
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 63
() -> mem([h, cons(h, t)]) -> 63
() -> reverse([nil, nil]) -> 63
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 67
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 70
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 69
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 64
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 66
(mem([e, nil])) -> BOT -> 64
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(a, cons(a, nil))  ;  h1 -> a  ;  l2 -> cons(a, cons(a, nil))  ;  t1 -> nil
})

-------------------------------------------
Step 94, which took 1.739998 s (model generation: 1.731931,  model checking: 0.008067):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1870, q_gen_1871, q_gen_1880},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<a>() -> q_gen_1880
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1871) -> q_gen_1871
<nil, cons>(q_gen_1880, q_gen_1798) -> q_gen_1871
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 64
() -> mem([h, cons(h, t)]) -> 64
() -> reverse([nil, nil]) -> 64
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 70
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 70
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 69
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 65
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 67
(mem([e, nil])) -> BOT -> 65
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(b, nil))  ;  _zg -> cons(a, cons(b, nil))  ;  h1 -> b  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 95, which took 2.877943 s (model generation: 2.865474,  model checking: 0.012469):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1808, q_gen_1809, q_gen_1829, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1829
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1829) -> q_gen_1773
<nil, nil, cons>(q_gen_1808, q_gen_1829) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1870, q_gen_1871, q_gen_1880},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<a>() -> q_gen_1880
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1871) -> q_gen_1871
<nil, cons>(q_gen_1880, q_gen_1798) -> q_gen_1871
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 65
() -> mem([h, cons(h, t)]) -> 65
() -> reverse([nil, nil]) -> 65
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 70
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 70
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 72
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 66
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 68
(mem([e, nil])) -> BOT -> 66
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(a, cons(a, nil))  ;  e -> b  ;  l1 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 96, which took 2.645882 s (model generation: 2.641243,  model checking: 0.004639):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1772, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1772},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1772) -> q_gen_1772
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1772
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1772
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1772) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1870, q_gen_1871, q_gen_1880},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<a>() -> q_gen_1880
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1752
<nil, cons>(q_gen_1880, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
<cons, cons>(q_gen_1778, q_gen_1871) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1871) -> q_gen_1871
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 66
() -> mem([h, cons(h, t)]) -> 66
() -> reverse([nil, nil]) -> 66
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 70
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 73
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 72
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 67
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 69
(mem([e, nil])) -> BOT -> 67
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(b, cons(b, nil)))  ;  h1 -> b  ;  l2 -> cons(b, nil)  ;  t1 -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 97, which took 2.828067 s (model generation: 2.818088,  model checking: 0.009979):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1808, q_gen_1809, q_gen_1829, q_gen_1845},
Q_f={q_gen_1756},
Delta=
{
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1829
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1773
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1773
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1829) -> q_gen_1773
<nil, nil, cons>(q_gen_1808, q_gen_1829) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1812, q_gen_1870, q_gen_1871, q_gen_1880},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<a>() -> q_gen_1880
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1752
<nil, cons>(q_gen_1880, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
<cons, cons>(q_gen_1778, q_gen_1871) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1871) -> q_gen_1871
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 67
() -> mem([h, cons(h, t)]) -> 67
() -> reverse([nil, nil]) -> 67
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 73
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 73
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 72
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 68
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 70
(mem([e, nil])) -> BOT -> 68
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(a, cons(a, cons(b, cons(b, nil))))  ;  _zg -> cons(a, cons(a, cons(b, nil)))  ;  h1 -> b  ;  t1 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 98, which took 2.617327 s (model generation: 2.606689,  model checking: 0.010638):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1844, q_gen_1845, q_gen_1852},
Q_f={q_gen_1756},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1852
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1852
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1844) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1844) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1807
<cons, nil, cons>(q_gen_1762, q_gen_1852) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
<nil, cons, cons>(q_gen_1762, q_gen_1852) -> q_gen_1844
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1844
<nil, cons, cons>(q_gen_1845, q_gen_1852) -> q_gen_1844
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1832, q_gen_1870, q_gen_1880},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<b>() -> q_gen_1799
<a>() -> q_gen_1880
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1832) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1752
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<a, b>() -> q_gen_1812
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1832
<cons, cons>(q_gen_1778, q_gen_1832) -> q_gen_1832
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1832
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1832
<cons, cons>(q_gen_1870, q_gen_1832) -> q_gen_1832
<nil, cons>(q_gen_1880, q_gen_1798) -> q_gen_1832
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 68
() -> mem([h, cons(h, t)]) -> 68
() -> reverse([nil, nil]) -> 68
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 73
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 73
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 75
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 69
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 71
(mem([e, nil])) -> BOT -> 69
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(b, cons(b, cons(b, cons(b, nil))))  ;  e -> a  ;  l1 -> cons(a, cons(b, cons(a, cons(b, nil))))
})

-------------------------------------------
Step 99, which took 3.273875 s (model generation: 3.258239,  model checking: 0.015636):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1772, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1772},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1772) -> q_gen_1772
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1772
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1772
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1795
<cons, cons, cons>(q_gen_1809, q_gen_1772) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1869, q_gen_1870},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1869) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1869) -> q_gen_1811
<a, b>() -> q_gen_1812
<cons, cons>(q_gen_1778, q_gen_1869) -> q_gen_1869
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1869
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1869
<cons, cons>(q_gen_1870, q_gen_1797) -> q_gen_1869
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 69
() -> mem([h, cons(h, t)]) -> 69
() -> reverse([nil, nil]) -> 69
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 73
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 76
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 75
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 70
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 72
(mem([e, nil])) -> BOT -> 70
}
Sat witness: Found: ((append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]), {
_ug -> cons(b, cons(b, nil))  ;  h1 -> a  ;  l2 -> cons(a, cons(b, nil))  ;  t1 -> cons(b, nil)
})

-------------------------------------------
Step 100, which took 3.978933 s (model generation: 3.971886,  model checking: 0.007047):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1761, q_gen_1762, q_gen_1773, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1808, q_gen_1809, q_gen_1817, q_gen_1845},
Q_f={q_gen_1756, q_gen_1773},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1773) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1817) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1817) -> q_gen_1773
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1773
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1773
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1817
<cons, cons, cons>(q_gen_1809, q_gen_1773) -> q_gen_1817
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1817
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1817
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1797, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1870, q_gen_1871},
Q_f={q_gen_1752},
Delta=
{
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1778, q_gen_1797) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1871) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1870, q_gen_1797) -> q_gen_1797
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1797
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1797) -> q_gen_1811
<a, b>() -> q_gen_1812
<b, a>() -> q_gen_1870
<cons, cons>(q_gen_1778, q_gen_1871) -> q_gen_1871
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1871
<cons, cons>(q_gen_1870, q_gen_1871) -> q_gen_1871
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 70
() -> mem([h, cons(h, t)]) -> 70
() -> reverse([nil, nil]) -> 70
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 76
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 76
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 75
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 71
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 73
(mem([e, nil])) -> BOT -> 71
}
Sat witness: Found: ((append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]), {
_ah -> cons(b, cons(b, cons(b, nil)))  ;  _zg -> nil  ;  h1 -> b  ;  t1 -> nil
})

-------------------------------------------
Step 101, which took 3.028834 s (model generation: 3.018903,  model checking: 0.009931):

Model:
|_
{
append -> 
{{{
Q={q_gen_1756, q_gen_1760, q_gen_1761, q_gen_1762, q_gen_1774, q_gen_1775, q_gen_1776, q_gen_1784, q_gen_1795, q_gen_1807, q_gen_1808, q_gen_1809, q_gen_1845},
Q_f={q_gen_1756, q_gen_1760},
Delta=
{
<cons>(q_gen_1775, q_gen_1774) -> q_gen_1774
<nil>() -> q_gen_1774
<b>() -> q_gen_1775
<a>() -> q_gen_1808
<cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1761
<nil, nil>() -> q_gen_1761
<a, a>() -> q_gen_1762
<b, b>() -> q_gen_1762
<cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1784
<nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1784
<nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1784
<a, b>() -> q_gen_1845
<b, a>() -> q_gen_1845
<cons, cons, cons>(q_gen_1776, q_gen_1756) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1760) -> q_gen_1756
<cons, cons, cons>(q_gen_1776, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1795) -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1807) -> q_gen_1756
<cons, nil, cons>(q_gen_1762, q_gen_1784) -> q_gen_1756
<nil, cons, cons>(q_gen_1762, q_gen_1761) -> q_gen_1756
<nil, nil, nil>() -> q_gen_1756
<cons, cons, cons>(q_gen_1809, q_gen_1756) -> q_gen_1760
<cons, nil, cons>(q_gen_1762, q_gen_1761) -> q_gen_1760
<nil, nil, cons>(q_gen_1775, q_gen_1774) -> q_gen_1760
<a, b, a>() -> q_gen_1776
<b, b, b>() -> q_gen_1776
<cons, cons, cons>(q_gen_1809, q_gen_1760) -> q_gen_1795
<nil, cons, cons>(q_gen_1762, q_gen_1784) -> q_gen_1795
<nil, cons, cons>(q_gen_1845, q_gen_1784) -> q_gen_1795
<cons, cons, cons>(q_gen_1776, q_gen_1807) -> q_gen_1807
<nil, cons, cons>(q_gen_1845, q_gen_1761) -> q_gen_1807
<nil, nil, cons>(q_gen_1808, q_gen_1774) -> q_gen_1807
<a, a, a>() -> q_gen_1809
<b, a, b>() -> q_gen_1809
}

Datatype: <eltlist, eltlist, eltlist>
Convolution form: left
}}}
  ;  mem -> 
{{{
Q={q_gen_1753, q_gen_1754, q_gen_1755, q_gen_1758, q_gen_1759, q_gen_1763, q_gen_1770, q_gen_1781},
Q_f={q_gen_1753},
Delta=
{
<nil>() -> q_gen_1754
<b>() -> q_gen_1755
<cons>(q_gen_1755, q_gen_1754) -> q_gen_1758
<cons>(q_gen_1755, q_gen_1758) -> q_gen_1758
<a>() -> q_gen_1759
<cons>(q_gen_1755, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1755, q_gen_1781) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1758) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1770) -> q_gen_1770
<cons>(q_gen_1759, q_gen_1754) -> q_gen_1781
<cons>(q_gen_1759, q_gen_1781) -> q_gen_1781
<a, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1754) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1759, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1754) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1770) -> q_gen_1753
<b, cons>(q_gen_1755, q_gen_1781) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1758) -> q_gen_1753
<b, cons>(q_gen_1759, q_gen_1770) -> q_gen_1753
<a, cons>(q_gen_1755, q_gen_1754) -> q_gen_1763
<a, cons>(q_gen_1755, q_gen_1758) -> q_gen_1763
<a, nil>() -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1754) -> q_gen_1763
<b, cons>(q_gen_1759, q_gen_1781) -> q_gen_1763
<b, nil>() -> q_gen_1763
}

Datatype: <elt, eltlist>
Convolution form: left
}}}
  ;  reverse -> 
{{{
Q={q_gen_1752, q_gen_1778, q_gen_1796, q_gen_1798, q_gen_1799, q_gen_1811, q_gen_1812, q_gen_1869, q_gen_1870},
Q_f={q_gen_1752},
Delta=
{
<cons>(q_gen_1799, q_gen_1798) -> q_gen_1798
<nil>() -> q_gen_1798
<a>() -> q_gen_1799
<b>() -> q_gen_1799
<cons, cons>(q_gen_1778, q_gen_1752) -> q_gen_1752
<cons, cons>(q_gen_1812, q_gen_1869) -> q_gen_1752
<cons, cons>(q_gen_1870, q_gen_1811) -> q_gen_1752
<nil, nil>() -> q_gen_1752
<a, a>() -> q_gen_1778
<b, b>() -> q_gen_1778
<cons, cons>(q_gen_1778, q_gen_1796) -> q_gen_1796
<cons, cons>(q_gen_1778, q_gen_1869) -> q_gen_1796
<cons, cons>(q_gen_1812, q_gen_1796) -> q_gen_1796
<nil, cons>(q_gen_1799, q_gen_1798) -> q_gen_1796
<cons, cons>(q_gen_1778, q_gen_1811) -> q_gen_1811
<cons, cons>(q_gen_1812, q_gen_1752) -> q_gen_1811
<cons, cons>(q_gen_1870, q_gen_1869) -> q_gen_1811
<a, b>() -> q_gen_1812
<cons, cons>(q_gen_1812, q_gen_1811) -> q_gen_1869
<cons, cons>(q_gen_1870, q_gen_1752) -> q_gen_1869
<cons, cons>(q_gen_1870, q_gen_1796) -> q_gen_1869
<b, a>() -> q_gen_1870
}

Datatype: <eltlist, eltlist>
Convolution form: left
}}}

}
--
Equality automata are defined for: {eq_elt, eq_eltlist}
_|

Teacher's answer:
New clause system:
{
() -> append([nil, l2, l2]) -> 71
() -> mem([h, cons(h, t)]) -> 71
() -> reverse([nil, nil]) -> 71
(append([_zg, cons(h1, nil), _ah]) /\ reverse([t1, _zg])) -> reverse([cons(h1, t1), _ah]) -> 76
(append([t1, l2, _ug])) -> append([cons(h1, t1), l2, cons(h1, _ug)]) -> 76
(mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]) -> 78
(mem([e, t]) /\ not eq_elt([e, h])) -> mem([e, cons(h, t)]) -> 72
(mem([e, cons(h, t)]) /\ not eq_elt([e, h])) -> mem([e, t]) -> 74
(mem([e, nil])) -> BOT -> 72
}
Sat witness: Found: ((mem([e, l1]) /\ reverse([l1, _eh])) -> mem([e, _eh]), {
_eh -> cons(a, cons(a, cons(a, nil)))  ;  e -> b  ;  l1 -> cons(b, cons(b, cons(b, nil)))
})

Total time: 64.628941
Reason for stopping: DontKnow. Stopped because: timeout